Russell F Farnen; Henk Dekker; Christ'l Landtsheer; Heinz Sunker; Daniel B German; Wiking Ehlert; Professor of Soci Szell Peter Lang Publishing (2005) Pehmeäkantinen kirja
Russell F. Famen; Henk Dekker; Christi De Landtsheer; Heinz Sunker; Daniel B. German; Wiking Ehlert; Gyorgy Szell Peter Lang GmbH (2005) Pehmeäkantinen kirja
This handbook with exercises reveals in formalisms, hitherto mainly used for hardware and software design and verification, unexpected mathematical beauty. The lambda calculus forms a prototype universal programming language, which in its untyped version is related to Lisp, and was treated in the first author's classic The Lambda Calculus (1984). The formalism has since been extended with types and used in functional programming (Haskell, Clean) and proof assistants (Coq, Isabelle, HOL), used in designing and verifying IT products and mathematical proofs. In this book, the authors focus on three classes of typing for lambda terms: simple types, recursive types and intersection types. It is in these three formalisms of terms and types that the unexpected mathematical beauty is revealed. The treatment is authoritative and comprehensive, complemented by an exhaustive bibliography, and numerous exercises are provided to deepen the readers' understanding and increase their confidence using types.
